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Reversal of Bertrand-Cournot Ranking for Optimal Privatization Level

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  • Paul, Arindam
  • De, Parikshit

Abstract

We consider a vertically related differentiated product mixed duopoly market where a public and private firm compete in the downstream market. The public firm is partially privatized and a welfare maximizing regulator chooses the privatization level. The production of the final commodity requires a key input that is supplied by a foreign monopolist who in the upstream market can practice either uniform or discriminatory pricing. We show that with uniform pricing regime the privatization is always larger under Cournot competition while in case of discriminatory pricing regime, the privatization level under Bertrand competition is always larger. We also find that under discriminatory pricing regime, the Cournot-Bertrand ranking of other relevant variables are sensitive to the degree of substitutability.

Suggested Citation

  • Paul, Arindam & De, Parikshit, 2022. "Reversal of Bertrand-Cournot Ranking for Optimal Privatization Level," MPRA Paper 116272, University Library of Munich, Germany, revised 10 Feb 2023.
    • Handle: RePEc:pra:mprapa:116272
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    References listed on IDEAS

    as
    1. Scrimitore, Marcella, 2014. "Quantity competition vs. price competition under optimal subsidy in a mixed oligopoly," Economic Modelling, Elsevier, vol. 42(C), pages 166-176.
    2. Bos, Dieter, 1991. "Privatization: A Theoretical Treatment," OUP Catalogue, Oxford University Press, number 9780198283690.
    3. Manipushpak Mitra & Rupayan Pal & Arindam Paul & P. M. Sharada, 2020. "Equilibrium Coexistence of Public and Private Firms and the Plausibility of Price Competition," Journal of Institutional and Theoretical Economics (JITE), Mohr Siebeck, Tübingen, vol. 176(2), pages 217-242.
    4. Nakamura, Tamotsu & Takami, Hiroyuki, 2015. "Nash bargaining and partial privatization in mixed oligopoly," Economic Modelling, Elsevier, vol. 46(C), pages 315-321.
    5. Kenji Fujiwara, 2007. "Partial Privatization in a Differentiated Mixed Oligopoly," Journal of Economics, Springer, vol. 92(1), pages 51-65, September.
    6. Symeonidis, George, 2003. "Comparing Cournot and Bertrand equilibria in a differentiated duopoly with product R&D," International Journal of Industrial Organization, Elsevier, vol. 21(1), pages 39-55, January.
    7. repec:ebl:ecbull:v:30:y:2010:i:1:p:309-314 is not listed on IDEAS
    8. Mukherjee, Arijit, 2005. "Price and quantity competition under free entry," Research in Economics, Elsevier, vol. 59(4), pages 335-344, December.
    9. Matsumura, Toshihiro, 1998. "Partial privatization in mixed duopoly," Journal of Public Economics, Elsevier, vol. 70(3), pages 473-483, December.
    10. Matsumura, Toshihiro & Sunada, Takeaki, 2013. "Advertising competition in a mixed oligopoly," Economics Letters, Elsevier, vol. 119(2), pages 183-185.
    11. Alipranti, Maria & Milliou, Chrysovalantou & Petrakis, Emmanuel, 2014. "Price vs. quantity competition in a vertically related market," Economics Letters, Elsevier, vol. 124(1), pages 122-126.
    12. Judy Hsu & X. Wang, 2005. "On Welfare under Cournot and Bertrand Competition in Differentiated Oligopolies," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 27(2), pages 185-191, September.
    13. Ki‐Dong Lee & Sunghee Choi & Kangsik Choi, 2020. "Bertrand versus Cournot competition in a downstream mixed oligopoly with foreign ownership," Bulletin of Economic Research, Wiley Blackwell, vol. 72(2), pages 101-120, April.
    14. Wang, Leonard F.S. & Chen, Tai-Liang, 2011. "Mixed oligopoly, optimal privatization, and foreign penetration," Economic Modelling, Elsevier, vol. 28(4), pages 1465-1470, July.
    15. Anderson, Simon P. & de Palma, Andre & Thisse, Jacques-Francois, 1997. "Privatization and efficiency in a differentiated industry," European Economic Review, Elsevier, vol. 41(9), pages 1635-1654, December.
    16. Arghya Ghosh & Manipushpak Mitra, 2008. "Comparing Bertrand and Cournot Outcomes in the Presence of Public Firms," Discussion Papers 2008-18, School of Economics, The University of New South Wales.
    17. Dong, Quan & Wang, Leonard F.S., 2019. "Mixed oligopoly with state holding corporations and consumer-friendly firm," International Review of Economics & Finance, Elsevier, vol. 62(C), pages 121-130.
    18. Nirvikar Singh & Xavier Vives, 1984. "Price and Quantity Competition in a Differentiated Duopoly," RAND Journal of Economics, The RAND Corporation, vol. 15(4), pages 546-554, Winter.
    19. Chia-Chi Wang & Jiunn-Rong Chiou, 2015. "Optimal privatization policy in the presence of network externalities," Oxford Economic Papers, Oxford University Press, vol. 67(2), pages 514-527.
    20. Jean‐François Wen & Lasheng Yuan, 2010. "Optimal privatization of vertical public utilities," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 43(3), pages 816-831, August.
    21. Vives, Xavier, 1985. "On the efficiency of Bertrand and Cournot equilibria with product differentation," Journal of Economic Theory, Elsevier, vol. 36(1), pages 166-175, June.
    22. Kazuhiro Ohnishi, 2010. "Partial privatization in price-setting mixed duopoly," Economics Bulletin, AccessEcon, vol. 30(1), pages 309-314.
    23. Okuguchi, Koji, 1987. "Equilibrium prices in the Bertrand and Cournot oligopolies," Journal of Economic Theory, Elsevier, vol. 42(1), pages 128-139, June.
    24. Kangsik Choi, 2012. "Price And Quantity Competition In A Unionised Mixed Duopoly: The Cases Of Substitutes And Complements," Australian Economic Papers, Wiley Blackwell, vol. 51(1), pages 1-22, March.
    25. Yoshihiro Yoshida, 2000. "Third-Degree Price Discrimination in Input Markets: Output and Welfare," American Economic Review, American Economic Association, vol. 90(1), pages 240-246, March.
    26. Lopez, Monica Correa & Naylor, Robin A., 2004. "The Cournot-Bertrand profit differential: A reversal result in a differentiated duopoly with wage bargaining," European Economic Review, Elsevier, vol. 48(3), pages 681-696, June.
    27. Amir, Rabah & Jin, Jim Y., 2001. "Cournot and Bertrand equilibria compared: substitutability, complementarity and concavity," International Journal of Industrial Organization, Elsevier, vol. 19(3-4), pages 303-317, March.
    28. Lin, Ping & Saggi, Kamal, 2002. "Product differentiation, process R&D, and the nature of market competition," European Economic Review, Elsevier, vol. 46(1), pages 201-211, January.
    29. Ghosh, Arghya & Mitra, Manipushpak, 2010. "Comparing Bertrand and Cournot in mixed markets," Economics Letters, Elsevier, vol. 109(2), pages 72-74, November.
    30. Kangsik Choi, 2019. "Price And Quantity Competition With Asymmetric Costs In A Mixed Duopoly: A Technical Note," Bulletin of Economic Research, Wiley Blackwell, vol. 71(1), pages 33-46, January.
    31. Chen, Chien-Hsun & Mai, Chao-Cheng & Liu, Yu-Lin & Mai, Shin-Ying, 2009. "Privatization and optimal share release in the Chinese banking industry," Economic Modelling, Elsevier, vol. 26(6), pages 1161-1171, November.
    32. Arya, Anil & Mittendorf, Brian & Sappington, David E.M., 2008. "Outsourcing, vertical integration, and price vs. quantity competition," International Journal of Industrial Organization, Elsevier, vol. 26(1), pages 1-16, January.
    33. Wang, Chia-Chi & Chiou, Jiunn-Rong, 2018. "Optimal privatization policy with Bertrand competition," International Review of Economics & Finance, Elsevier, vol. 56(C), pages 538-546.
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    Keywords

    D4; D6; H4; L1; L2;
    All these keywords.

    JEL classification:

    • L1 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance
    • L2 - Industrial Organization - - Firm Objectives, Organization, and Behavior

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